Search a number
-
+
14244221412 = 2233349377911
BaseRepresentation
bin11010100010000010…
…11001000111100100
31100202201000102101000
431101001121013210
5213133010041122
610313235033300
71012661612211
oct152101310744
940681012330
1014244221412
11604a545413
12291643b830
1314600aa2a5
14991acab08
155857c50ac
hex3510591e4

14244221412 has 48 divisors (see below), whose sum is σ = 37035376000. Its totient is φ = 4734456480.

The previous prime is 14244221393. The next prime is 14244221419. The reversal of 14244221412 is 21412244241.

14244221412 is a `hidden beast` number, since 1 + 4 + 2 + 442 + 214 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14244221419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151264 + ... + 226647.

Almost surely, 214244221412 is an apocalyptic number.

14244221412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14244221412 is an abundant number, since it is smaller than the sum of its proper divisors (22791154588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14244221412 is a wasteful number, since it uses less digits than its factorization.

14244221412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378273 (or 378265 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 14244221412 its reverse (21412244241), we get a palindrome (35656465653).

The spelling of 14244221412 in words is "fourteen billion, two hundred forty-four million, two hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 349 698 1047 1396 2094 3141 4188 6282 9423 12564 18846 37692 377911 755822 1133733 1511644 2267466 3401199 4534932 6802398 10203597 13604796 20407194 40814388 131890939 263781878 395672817 527563756 791345634 1187018451 1582691268 2374036902 3561055353 4748073804 7122110706 14244221412